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Simplifying 4(15x + -34) = 4 + -5(x + 5) Reorder the terms: 4(-34 + 15x) = 4 + -5(x + 5) (-34 * 4 + 15x * 4) = 4 + -5(x + 5) (-136 + 60x) = 4 + -5(x + 5) Reorder the terms: -136 + 60x = 4 + -5(5 + x) -136 + 60x = 4 + (5 * -5 + x * -5) -136 + 60x = 4 + (-25 + -5x) Combine like terms: 4 + -25 = -21 -136 + 60x = -21 + -5x Solving -136 + 60x = -21 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -136 + 60x + 5x = -21 + -5x + 5x Combine like terms: 60x + 5x = 65x -136 + 65x = -21 + -5x + 5x Combine like terms: -5x + 5x = 0 -136 + 65x = -21 + 0 -136 + 65x = -21 Add '136' to each side of the equation. -136 + 136 + 65x = -21 + 136 Combine like terms: -136 + 136 = 0 0 + 65x = -21 + 136 65x = -21 + 136 Combine like terms: -21 + 136 = 115 65x = 115 Divide each side by '65'. x = 1.769230769 Simplifying x = 1.769230769
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